Dynamical Evolution of Highway Traffic Flow: from Microscopic to Macroscopic
WANG Bing-hong1, HUI Pak-ming2, GU Guo-qing3
1Department of Modern Physics and The Center of Nonlinear Science, University of Science and Technology of China, Hefei 230026
2Department of Physics, The Chinese University of Hong Kong, Shatin, NT, Hong Kong
3Department of System Engineering, Shanghai University of Science and Technology, Shanghai 200093
Dynamical Evolution of Highway Traffic Flow: from Microscopic to Macroscopic
WANG Bing-hong1;HUI Pak-ming2;GU Guo-qing3
1Department of Modern Physics and The Center of Nonlinear Science, University of Science and Technology of China, Hefei 230026
2Department of Physics, The Chinese University of Hong Kong, Shatin, NT, Hong Kong
3Department of System Engineering, Shanghai University of Science and Technology, Shanghai 200093
Abstract： In this paper, a derivation of the macroscopic mean field theory of the cellular automaton (CA) model of highway traffic flow starting from the microscopic dynamical point of view is presented. Starting from an equation describing the time evolution of the Boolean state variable at each site of the basic CA model, and using a two-site approximation for the multi-site correlation functions, a dynamical mapping between the macroscopic average speeds v(t + 1) and v ( t ) at different time can be derived. Mean field results consistent with the simulation data are obtained by considering the attractors of the mapping and their corresponding basins.
WANG Bing-hong;HUI Pak-ming;GU Guo-qing. Dynamical Evolution of Highway Traffic Flow: from Microscopic to Macroscopic[J]. 中国物理快报, 1997, 14(3): 202-205.
WANG Bing-hong, HUI Pak-ming, GU Guo-qing. Dynamical Evolution of Highway Traffic Flow: from Microscopic to Macroscopic. Chin. Phys. Lett., 1997, 14(3): 202-205.
1997, Vol. 14 
